A thin straight infinitely long conducting wire having charge density `lambda` is enclosed by a cylindrical surface of radius r and lengh l, its axis coinciding with the length of the wire. Find the expression for the electric flux through the surface of the cylinder.

A charge q is distributed unifromly on x ring of radius r. A sphere of equal radius r is centred at the circumference of the ring . Find the flux of the electric field through the surface of the sphere.

Two charged conducting spheres A and B having radii a and b connected to each other by a copper wire. Find the ratio of the electric fields at the surfaces of the two spheres.

A cylinder of length L and radius R is placed in a uniform electric field E parallel to the axis o the cylinder. The total electric flux for the surface of the cylinder is given by

A thin straight rod of length I, has uniform linear charge density lambda . Moving at a constant speed v, the rod enters a cube of sides having length L through its left fae and leaves through the right face as shown in the figure Find the maximum electric flux through the cube.

A thin metallic spherical shell of radius R carries a charge Q on its surface. A point charge Q/2 is placed at its centre C and another charge +2Q outside the shell at a distance r from the centre as shown in figure. Find the electric flux through the shell.

A cylindrical bar magnet is rotated about its axis (Fig EP 6.3). A wire is connected from the axis and is made to touch the cylindrcial surface through a contact. Then

An infinitely long thin wire carrying a uniform linear static charge density lambda is place along the z-axis (Fig. Ep 8.28). The wire is set into motion along its length with a uniform velocity vecv=v hatk_z . Calculate the poynting vector vecS=1/mu_0(vecExxvecB) .

Obtain the formula for the electric field due to a long thin wire of uniform linear charge density lambda without using Gauss’s law.

An electric flux of -5xx10^3Nm^2C^-1 passes through a spherical gaussian surface of radius 20 cm due to the charge placed at its centre. If the radius of the gaussian surface is doubled, how much flux would pass through the surface?